Weakly bounds1∕2neutrons in the many-body pair correlation of neutron drip line nuclei

2004 ◽  
Vol 69 (6) ◽  
Author(s):  
Ikuko Hamamoto ◽  
Ben R. Mottelson
Keyword(s):  
Pair Correlation ◽  
Drip Line ◽  
Neutron Drip Line ◽  
Many Body ◽  
The Many

CONTROL OF ELECTRON SPIN DECOHERENCE IN MESOSCOPIC NUCLEAR SPIN BATHS

2008 ◽  
Vol 22 (01n02) ◽  
pp. 27-32
Author(s):  
REN-BAO LIU ◽  
WANG YAO ◽  
L. J. SHAM
Keyword(s):  
Electron Spin ◽  
Nuclear Spin ◽  
Spin Dynamics ◽  
Pair Correlation ◽  
Many Body ◽  
Nuclear Spins ◽  
Spin Decoherence ◽  
The Many ◽  
Mutually Independent ◽  
Correlation Approximation

The electron spin decoherence by nuclear spins in semiconductor quantum dots is caused by quantum entanglement between the electron and the nuclei. The many-body dynamics problem of the interacting nuclear spins can be solved with the pair-correlation approximation which treats the nuclear spin flip-flops as mutually independent. The nuclear spin dynamics can be controlled by simply flipping the electron spin so that the electron is disentangled from the nuclei and hence its lost coherence is restored.

Pair correlation in neutron drip line nuclei

2003 ◽  
Vol 68 (3) ◽  
Author(s):  
Ikuko Hamamoto ◽  
Ben R. Mottelson
Keyword(s):  
Pair Correlation ◽  
Drip Line ◽  
Neutron Drip Line

Accurate Kohn-Sham potential for the 1s2s 3S state of the helium atom: Tests of the locality and the ionization-potential theorems

2005 ◽  
Vol 83 (1) ◽  
pp. 85-90 ◽  
Author(s):  
Sten Salomonson ◽  
Fredrik Moller ◽  
Ingvar Lindgren
Keyword(s):  
Ionization Potential ◽  
Helium Atom ◽  
Ionization Energy ◽  
Pair Correlation ◽  
Energy Eigenvalue ◽  
Exclusion Principle ◽  
Many Body ◽  
Hartree Fock ◽  
Koopmans Theorem ◽  
The Many

The local Kohn–Sham potential is constructed for the 1s2s 3S state of the helium atom, using the procedure proposed by van Leeuwen and Baerends (Phys. Rev. A, 49, 2138 (1994)) and the many-body electron density, obtained from the pair-correlation program of Salomonson and Öster (Phys. Rev. A, 40, 5559 (1989)). The Kohn–Sham orbitals reproduce the many-body density very accurately, demonstrating the validity of the Kohn–Sham model and the locality theorem in this case. The ionization-potential theorem, stating that the Kohn–Sham energy eigenvalue of the outermost electron orbital agrees with the negative of the corresponding many-body ionization energy (including electronic relaxation), is verified in this case to nine digits. A Kohn–Sham potential is also constructed to reproduce the Hartree–Fock density of the same state, and the Kohn–Sham 2s eigenvalue is then found to agree with the same accuracy with the corresponding Hartree–Fock eigenvalue. This is consistent with the fact that in this model the energy eigenvalue equals the negative of the ionization energy without relaxation due to Koopmans' theorem. Related calculations have been performed previously, particularly for atomic and molecular ground states, but none of matching accuracy. In the computations presented here there is no conflict between the locality of the Kohn–Sham potential and the exclusion principle, as claimed by Nesbet (Phys. Rev. A, 58, R12 (1998)). PACS Nos.: 31.15.Ew, 31.15.Pf, 02.30.Sa

On the many-body theory of nuclear reactions

1968 ◽  
Vol 111 (1) ◽  
pp. 392-416 ◽  
Author(s):  
K DIETRICH ◽  
K HARA
Keyword(s):  
Nuclear Reactions ◽  
Many Body ◽  
Many Body Theory ◽  
The Many ◽  
Body Theory
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